89153424 has 120 divisors (see below), whose sum is σ = 265544760. Its totient is φ = 27869184.

The previous prime is 89153369. The next prime is 89153429. The reversal of 89153424 is 42435198.

89153424 is a `hidden beast` number, since 89 + 153 + 424 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 61779600 + 27373824 = 7860^2 + 5232^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89153429) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 154224 + ... + 154800.

It is an arithmetic number, because the mean of its divisors is an integer number (2212873).

Almost surely, 2^89153424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89153424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132772380).

89153424 is an abundant number, since it is smaller than the sum of its proper divisors (176391336).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

89153424 is a wasteful number, since it uses less digits than its factorization.

89153424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 648 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 89153424 is about 9442.1090864277. The cubic root of 89153424 is about 446.7309162299.

The spelling of 89153424 in words is "eighty-nine million, one hundred fifty-three thousand, four hundred twenty-four".